Regularizing Rotating Black Strings: a new black bounce solution

TL;DR

This paper introduces a new regularized rotating black string solution using a black bounce method, creating a smooth transition between black holes and wormholes, and analyzes its geometric and energy properties.

Contribution

It applies the black bounce technique to rotating black strings, producing a novel regular solution with a wormhole structure, expanding the family of known regular black objects.

Findings

The solution interpolates between a black hole and a wormhole.

Curvature scalars confirm the regularity of the solution.

Energy conditions are analyzed for the effective energy-momentum tensor.

Abstract

The present paper is devoted to a new black bounce solution that regularize the well-known rotating black string in $3+1$ dimensions. To do so, the procedure pointed out by Simpson-Visser is followed, which has been already applied successfully to other static cases of black strings, with and without electric charge. This method implies to force a bounce on the radial coordinate, such that a wormhole throat arises before the singularity, which renders a regular solution. An analysis of the metric is conducted, showing the interpolation between a regular black hole and a wormhole, what provides a much richer family of solutions than the original metric. Different curvature magnitudes are obtained in order to analyze the regularity of the solution, including the Ricci and Kretschmann scalars. Finally, by following the Einstein field equations the corresponding effective energy-momentum tensor is obtained and the energy conditions are analyzed.